A009045 Expansion of cos(sin(x))/exp(x).

1, -1, 0, 2, 0, -16, 24, 104, -256, -1600, 5632, 29952, -156032, -644736, 4761600, 18383616, -178225152, -645554176, 8081772544, 25645936640, -422364381184, -1160636121088, 25184814366720, 60217271582720, -1713906141986816

Offset: 0

Author

R. H. Hardin

Keywords

• sign
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..250

Programs

Magma

m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sin(x))/Exp(x))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 23 2018

Mathematica

With[{nn=30},CoefficientList[Series[Cos[Sin[x]]/Exp[x],{x,0,nn}],x]Range[0,nn]!] (* Harvey P. Dale, Dec 31 2012 *)

PARI

x='x+O('x^30); Vec(serlaplace(cos(sin(x))/exp(x))) \\ G. C. Greubel, Jul 23 2018

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997